GCD of 983, 580, 71, 700 Calculator

Given Input numbers are 983, 580, 71, 700

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 983, 580, 71, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 580, 71, 700 is 1.

Therefore, GCD of numbers 983, 580, 71, 700 is 1

Given Input Data is 983, 580, 71, 700

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 983 is 983

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 71 is 71

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(983, 580) = 570140

GCD(983, 580) = ( 983 x 580 ) / 570140

GCD(983, 580) = 570140 / 570140

GCD(983, 580) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 983, 580, 71, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 866, 58, 858
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1. What is the GCD of 983, 580, 71, 700?

GCD of 983, 580, 71, 700 is 1

2. Where do I get the detailed procedure to find GCD of 983, 580, 71, 700?

You can find a detailed procedure to find GCD of 983, 580, 71, 700 on our page.

3. How to find GCD of 983, 580, 71, 700 on a calculator?

You can find the GCD of 983, 580, 71, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.